The 2-part of the Bloch-Kato conjecture, and indivisibility results, for $K_2$ of some elliptic curves

Neil Dummigan, Vasily Golyshev, Rob de Jeu +1

For certain integers $u$, we investigate the 2-part of the Bloch-Kato conjecture for $L(E_u,2)$, where $E_u:y^2=x(x+1)(x+u^2)$ is part of a (twisted) Legendre family that is 2-iso…